984161280 has 176 divisors, whose sum is σ = 3333826080. Its totient is φ = 246939648.

The previous prime is 984161257. The next prime is 984161281. The reversal of 984161280 is 82161489.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984161281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259236 + ... + 263004.

Almost surely, 2^984161280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666913040).

984161280 is an abundant number, since it is smaller than the sum of its proper divisors (2349664800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

984161280 is a wasteful number, since it uses less digits than its factorization.

984161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 984161280 is about 31371.3448866956. The cubic root of 984161280 is about 994.6923048813.

The spelling of 984161280 in words is "nine hundred eighty-four million, one hundred sixty-one thousand, two hundred eighty".